4. The following function f(x) = { 1²,1≤0 -²,0 ≤ ≤1 1-2x, 1≤x

Q: 4.- Let be the function f defined by the rule f(x) = 5x³ + 2x² - x + 10 Find f(x) in f(0.5) f(-4)…

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Q: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: (-3 if z 2

A: Here is a step by step solution of the problem. We have proved discontinuity at x=2 by evaluation…

Q: 5. f(x) = x+10 evaluate at x = 4, 16, 20 and – 10

A: As we know that; If the given function is f(x) then the value of the function is at x=a is f(a).…

Q: The third interval of the following function xe* - 1, which between 0 and 1 is [2,3]. True False

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Q: If p assigns a quantity x to a second quantity, y, what is the range if p(x) = 3(x – 6)² + 11.2?…

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Q: 1. State the domain and range of f(x) = /9(x - 4) + 2 D:[2,00) A. D:[4,00) В. D:[4,00) D:[2,00) D.…

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Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: f(x) > 0 7+ 6+ 5+ Select one: O a. (-00, 3) O b. (3, 4) O c. (3,00) O d. [3, 4] 3+ -8 -7 -6 -5 -4 -3…

A: since from graph it clear that  f(x)>0 means f(x) is positive for the   interval  range…

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

A:

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: 1 -x – 5, – 3 < x < 6 2 1 ermine the domain of f-'. Write your answer rval Notation. Round to two…

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Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

Q: 7x – 1 Determine in which interval(s) the function h(x) is continuous. Justify %3D x2 +1 your…

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Q: -2x+6 Consider the function f (x) = x3+2x2-15x

A: Here we use basic definition of function.

Q: Let x + 3 x+7 ƒ-¹( - 7) =

A: The given function

Q: B. If f(x) = 3*, evaluate 1. f(2) 3. f (-) 2. f(-2) 4. f(0.4) 5. f(T)

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Q: Let f (x) = 1(1 2 2 +4. Evaluate f(-8). f(-8) = Number

A: Given f(x) = -½(½)x + 4 We have to find f(-8)

Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: t is the direction of fastest increase at (-3, 4, -4) for the function f(x, y, z) = 1 x² + y² + z²

A: We have to find the direction of faster increase at (-3,4,-4)

Q: -4 if x1

A: The given function is: f(x)=-4        if  x&lt;-2(x+1)2-1    if  -2≤x≤1-14x+2if  x&gt;1

Q: • If x = -0,8, then [x-1]%D %3D 1. -2 2. -1 3. -0.8 4. 1

A: Greatest integer function: For all real numbers x, the greatest integer function gives the largest…

Q: Find the range of the Function /(a) 12 0(-, ) O (-x, 12) O (-, 0)U (0, o) 0-, 12) u (12, oo)

A: Topic - functions Range of the function is the values for which f(x) is defined. The given function…

Q: ents is

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Q: What is the domain of * f (x) = /25 – x²?

A: Domain of a function is the set of input or argument values for which the function is real and…

Q: If f(x) = 1 / (x3 - 8) what number(s) are not in the domain of f? 1. +2, -2 2. 0, -2…

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Q: Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

A: The solution is given below: